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2 years ago

Explain how you can use the whole number expression 248÷4 to check that your answer to exercise to is reasonable

Mathematics

1 answer:

Aleksandr-060686 [28]2 years ago

4 0

I got 62 because i just dived 248/4.

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line passes through the point (-3,-4) and its y-intercept is (o, -9). What is the equation of the line that is parallel to the f

12345 [234]

Answer:

$y=-\frac{5}{3}x-2$

Step-by-step explanation:

The first line has a slope of -5/3 found using the points in the slope formula.

$m=\frac{y_2-y_1}{x_2-x_1} =\frac{-9--4}{0--3}=\frac{-9+4}{0+3}=\frac{-5}{3}$

Parallel lines have the same slope. So -5/3 is the slope of the second line. Write its equation using the point slope form $y-y_1=m(x-x_1)$ .

$y--7=-\frac{5}{3}(x-3)\\y+7 = -\frac{5}{3}(x-3)\\y=-\frac{5}{3}x + 5 -7\\y=-\frac{5}{3}x-2$

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2 years ago

The side length of a square ice cube is claimed to be 1.0 inches, correct to within 0.001 inch. Use linear approximation to esti

Olenka [21]

Answer:

0.012

Step-by-step explanation:

Linear approximation says that,

$f(x) \approx f(x_o)+f'(x_o)(x-x_o)$

For a cube the surface area is $6x^2$ .

So the side is 1.0 inch in, the surface area is $=6\times1^2 = 6$ square inches.

In Linear approximation means you ignore the term $x_o^2$ , if $x_o$ is a small number, because then $x_o^2$ will be a very smalle number and that does not contribute much to the error.

So the surface area is approximately,

$6x^2=6x_o^2+12x_o(x-x_o)$

So here, $x=1.001, x_o=0.001$

The error in the area is approximately,

$12 \times 0.001=0.012$

So the error is 0.012.

3 0

2 years ago

Types 120 words in 100second. How many seconds does it take to type 258

Anna35 [415]

215 seconds
100/120=.833
.833×258= 215

7 0

2 years ago

The function g(x) = x2 is transformed to obtain function h: h(x) = g(x) + 1. Which statement describes how the graph of h is dif

Vera_Pavlovna [14]

Answer:

Step-by-step explanation:

The graph of g(x), if translated upward by 1 unit, becomes the graph of h(x) = g(x) + 1.

6 0

3 years ago

A cell tower has the hieght of 70 meters. The Tower casts a shadow of 45 meters on the ground. What is the angle of elevation of

laiz [17]

Answer:

$\theta=0.99^{\circ}$

Step-by-step explanation:

Given that,

The height of a cell tower, P = 70 m

The tower casts a shadow of 45 meters on the ground.

We need to find the angle of elevation of the shadow to the top of the cell tower. We can use trigonometry to find it.

$\tan\theta=\dfrac{P}{B}$

Put all the values,

$\tan\theta=\dfrac{70}{45}\\\\\theta=\tan^{-1}\left(\frac{70}{45}\right)\\\\\theta=0.99^{\circ}$

Hence, the angle of elevation is equal to $0.99^{\circ}$ .

4 0

2 years ago